n-ary associativity
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Revision as of 01:01, 10 July 2021 by imported>Scavis (correction)
In algebra, n-ary associativity is a generalization of the associative law to n-ary operations. Ternary associativity is
- (abc)de = a(bcd)e = ab(cde),
i.e. the string abcde with any three adjacent elements bracketed. n-ary associativity is a string of length n + (n − 1) with any n adjacent elements bracketed.[1]
References
- ↑ Dudek, W.A. (2001), "On some old problems in n-ary groups", Quasigroups and Related Systems 8: 15–36, http://www.quasigroups.eu/contents/contents8.php?m=trzeci.
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